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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 273.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
273.a1 | 273a1 | \([0, -1, 1, -26, 68]\) | \(-2019487744/361179\) | \(-361179\) | \([]\) | \(48\) | \(-0.20821\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 273.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 273.a do not have complex multiplication.Modular form 273.2.a.a
sage: E.q_eigenform(10)